Geometric Study of a Family of Integrable Systems

Authors : Ahmed LESFARİ

Pages : 78-92

Doi:10.36890/iejg.545100

View : 6 | Download : 5

Publication Date : 2018-04-30

Article Type : Research Paper

Abstract :The aim of this paper is to demonstrate the rich interaction between complex algebraic geometry, the theory of integrable systems and the geometry of its asymptotic solutions.We present a family of integrable hamiltonian systems. We study theses systems from a different angle, assemble different geometric methods and several views.
Keywords : Integrable systems, gap theory, abelian varieties, jacobian varieties, embeddings